About the behavior of solutions for Volterra difference equations with infinite delay

• Autores: Airton Castro, Claudio Cuevas, Filipe Dantas, Herme Soto
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 255, Nº 1, 2014, págs. 44-59
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.04.033
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• Resumen

  • We study the existence of discrete almost automorphic solutions and asymptotic behavior for non-linear Volterra difference equations of convolution type with infinite delay where the nonlinear perturbation is considered not necessarily globally Lipschitz. The results are a consequence of application of different fixed point theorems, namely, the contraction principle, the Leray�Schauder, the Krasnoselkii and Matkowski�s fixed point technique.